Pith Number

pith:7GVF3QI2

pith:2011:7GVF3QI2JIOATODJG57G7PV5NX

not attested not anchored not stored refs pending

Product decompositions in finite simple groups

Aner Shalev, Martin Liebeck, Nikolay Nikolov

arxiv:1107.1528 v1 · 2011-07-07 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GVF3QI2JIOATODJG57G7PV5NX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:00.771889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9aa5dc11a4a1c09b869377e6fbebd6dfe70a84c4384496bd887e684cc913734

Aliases

arxiv: 1107.1528 · arxiv_version: 1107.1528v1 · doi: 10.48550/arxiv.1107.1528 · pith_short_12: 7GVF3QI2JIOA · pith_short_16: 7GVF3QI2JIOATODJ · pith_short_8: 7GVF3QI2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7GVF3QI2JIOATODJG57G7PV5NX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f9aa5dc11a4a1c09b869377e6fbebd6dfe70a84c4384496bd887e684cc913734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e249f62b9de46b553cf6d81cb66270c6cc7c9d8d61ce578cdf90a7dba79bea05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-07T21:40:15Z",
    "title_canon_sha256": "dc58578318c306e0a5c8ace11d8202526ebece7b8a6e647109b1e2a8722823fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1528",
    "kind": "arxiv",
    "version": 1
  }
}